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STOC
2002
ACM
121views Algorithms» more  STOC 2002»
14 years 9 months ago
Almost all graphs with average degree 4 are 3-colorable
We analyze a randomized version of the Brelaz heuristic on sparse random graphs. We prove that almost all graphs with average degree dp4:03; i.e., G?n; p ? d=n?; are 3-colorable a...
Dimitris Achlioptas, Cristopher Moore
ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
14 years 1 months ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
MFCS
2004
Springer
14 years 2 months ago
All Superlinear Inverse Schemes Are coNP-Hard
How hard is it to invert NP-problems? We show that all superlinearly certified inverses of NP problems are coNP-hard. To do so, we develop a novel proof technique that builds dia...
Edith Hemaspaandra, Lane A. Hemaspaandra, Harald H...
IEICET
2008
76views more  IEICET 2008»
13 years 9 months ago
All Pairings Are in a Group
In this paper, we suggest that all pairings be in a group from an abstract angle. According to our results, we can define some new pairings with short Miller loops and hence speed ...
Changan Zhao, Fangguo Zhang, Jiwu Huang
STACS
2010
Springer
14 years 4 months ago
Evolving Multialgebras Unify All Usual Sequential Computation Models
Abstract. It is well-known that Abstract State Machines (ASMs) can simulate “stepby-step” any type of machines (Turing machines, RAMs, etc.). We aim to overcome two facts: 1) s...
Serge Grigorieff, Pierre Valarcher